The average (arithmetic mean) of x and y is 20. if z = 5, what is the average of x, y, and z?
Answers
=x + y/2 = 20
=x + y =40 ..................(1)
z = 5
arithmetic mean (average) of x , y and z
=x + y + z /3
putting eq (1)
=40 + 5 /3
=45 /3
ans =15
Concept:
In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the middlemost value of the given data. While the number in the list that is repeated a maximum of times is the mode.
Given:
The average (arithmetic mean) of x and y is 20.
Find:
if z = 5, what is the average of x, y, and z?
Solution:
arithmetic mean (average) of x and y
=x + y/2 = 20
=x + y =40 ..................(1
z = 5
arithmetic mean (average) of x , y and z
=x + y + z /3
putting eq (1)
=40 + 5 /3
=45 /3
=15
Therefore, the mean of x,y,z is 15
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